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Finding the Third Proportional to 36,488,980 and 78,763,304

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Solution

The third proportional to 36,488,980 and 78,763,304 is: 170,014,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,488,980 : 78,763,304 = 78,763,304 : x
  2. Step 2: Convert to fraction form
    36,488,980/78,763,304 = 78,763,304/x
  3. Step 3: Cross multiply
    36,488,980x = 78,763,304 × 78,763,304
  4. Step 4: Simplify right side
    36,488,980x = 6,203,658,056,996,416
  5. Step 5: Solve for x
    x = 6,203,658,056,996,416/36,488,980
  6. Step 6: Final answer
    x = 170,014,564.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.